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So it is what it sounds like. There's no HDMI input for the Surface (or at least I don't know of a port for one) and I want to project my screen onto my tv through the Playstation 4. Anyone know of any way to accomplish this?

There isn't a way to utilize your PS4 as a medium for display transfer. There is a minidisplay port on the surface 3, though so you should be good if you wanted to do that. You can also look into the Intel Widi stuff or whatever the Roku equivelant is.